286121472 has 320 divisors, whose sum is σ = 989936640. Its totient is φ = 71368704.

The previous prime is 286121467. The next prime is 286121483. The reversal of 286121472 is 274121682.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3214804 + ... + 3214892.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 2^286121472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286121472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494968320).

286121472 is an abundant number, since it is smaller than the sum of its proper divisors (703815168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

286121472 is a wasteful number, since it uses less digits than its factorization.

286121472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 286121472 is about 16915.1255389962. The cubic root of 286121472 is about 658.9464918949.

The spelling of 286121472 in words is "two hundred eighty-six million, one hundred twenty-one thousand, four hundred seventy-two".